東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Geodesic fibrations of elliptic 3-ma...

Tucker, Cherith.

FindBook

Google Book

Amazon

博客來

Geodesic fibrations of elliptic 3-manifolds.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geodesic fibrations of elliptic 3-manifolds./
作者:	Tucker, Cherith.
面頁冊數:	95 p.
附註:	Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
Contained By:	Dissertation Abstracts International74-10B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567889
ISBN:	9781303206214

Geodesic fibrations of elliptic 3-manifolds.
Tucker, Cherith.

Geodesic fibrations of elliptic 3-manifolds. - 95 p.

Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.

Thesis (Ph.D.)--The University of Oklahoma, 2013.

The well-known Hopf fibration of S 3 is interesting in part because its fibers are geodesics, or great circles, of S3. However, this is not the only great circle fibration of S3. In 1983, Herman Gluck and Frank Warner used the fact that the space of all oriented geodesics of the 3-sphere is homeomorphic to S2 x S2 to establish that there are many other great circle fibrations of S3. They showed that a submanifold of S2 x S2 corresponds to a fibration of S3 by oriented great circles if and only if it is the graph of a distance decreasing map from either S2 factor to the other. Since S3 is the universal cover of all elliptic 3-manifolds, we use this result to investigate geodesic Seifert fibrations of elliptic 3-manifolds. We also develop a different perspective on the space of oriented geodesics in S3 than that used by Gluck and Warner, and we examine its role in studying the geometry of the 3-sphere.

ISBN: 9781303206214Subjects--Topical Terms:

515831
Mathematics.

Geodesic fibrations of elliptic 3-manifolds.
LDR:01756nam a2200277 4500 001 1964720
005 20141010092808.5
008 150210s2013 ||||||||||||||||| ||eng d
020 $a 9781303206214
035 $a (MiAaPQ)AAI3567889
035 $a AAI3567889
040 $a MiAaPQ $c MiAaPQ
100 1 $a Tucker, Cherith. $3 2101221
245 1 0 $a Geodesic fibrations of elliptic 3-manifolds.
300 $a 95 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
500 $a Adviser: Andrew Miller.
502 $a Thesis (Ph.D.)--The University of Oklahoma, 2013.
520 $a The well-known Hopf fibration of S 3 is interesting in part because its fibers are geodesics, or great circles, of S3. However, this is not the only great circle fibration of S3. In 1983, Herman Gluck and Frank Warner used the fact that the space of all oriented geodesics of the 3-sphere is homeomorphic to S2 x S2 to establish that there are many other great circle fibrations of S3. They showed that a submanifold of S2 x S2 corresponds to a fibration of S3 by oriented great circles if and only if it is the graph of a distance decreasing map from either S2 factor to the other. Since S3 is the universal cover of all elliptic 3-manifolds, we use this result to investigate geodesic Seifert fibrations of elliptic 3-manifolds. We also develop a different perspective on the space of oriented geodesics in S3 than that used by Gluck and Warner, and we examine its role in studying the geometry of the 3-sphere.
590 $a School code: 0169.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
690 $a 0405
690 $a 0364
710 2 $a The University of Oklahoma. $b Department of Mathematics. $3 1043047
773 0 $t Dissertation Abstracts International $g 74-10B(E).
790 $a 0169
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567889